Henri & Renaud Lifchitz's PRP Top records

What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!

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1-250	251-500	501-750	751-1000	1001-1250	1251-1500	1501-1750	1751-2000
2001-2250	2251-2500	2501-2750	2751-3000	3001-3250	3251-3500	3501-3750	3751-4000
4001-4250	4251-4500	4501-4750	4751-5000	5001-5250	5251-5500	5501-5750	5751-6000
6001-6250	6251-6500	6501-6750	6751-7000	7001-7250	7251-7500	7501-7750	7751-8000
8001-8250	8251-8500	8501-8750	8751-9000	9001-9250	9251-9500	9501-9750	9751-10000

Rank	Probable prime	Digits (> 50000)	Who ?	When ?
9001	2^338862+146545	102008	Stefano Morozzi	11/2022
9002	2^338863-186207	102008	Stefano Morozzi	12/2022
9003	2^338860-41429	102008	Stefano Morozzi	01/2023
9004	2^338862-115833	102008	Stefano Morozzi	01/2023
9005	2^338863+74259	102008	Stefano Morozzi	02/2023
9006	2^338863-193017	102008	Stefano Morozzi	02/2023
9007	2^338858-190185	102007	Stefano Morozzi	01/2023
9008	2^338855+102141	102006	Stefano Morozzi	12/2021
9009	2^338856-27173	102006	Stefano Morozzi	12/2021
9010	2^338856-102839	102006	Stefano Morozzi	01/2022
9011	2^338855+79629	102006	Stefano Morozzi	01/2022
9012	2^338856+47755	102006	Stefano Morozzi	11/2022
9013	2^338850+27987	102005	Stefano Morozzi	01/2022
9014	2^338853+111791	102005	Stefano Morozzi	04/2022
9015	2^338852+145797	102005	Stefano Morozzi	11/2022
9016	2^338852-88497	102005	Stefano Morozzi	12/2022
9017	2^338850+124843	102005	Stefano Morozzi	02/2023
9018	2^338853-167695	102005	Stefano Morozzi	02/2023
9019	2^338847+176013	102004	Stefano Morozzi	12/2021
9020	2^338847-2365	102004	Stefano Morozzi	12/2021
9021	2^338848+158941	102004	Stefano Morozzi	03/2022
9022	2^338848+16671	102004	Stefano Morozzi	06/2022
9023	2^338847-35061	102004	Stefano Morozzi	06/2022
9024	2^338848+145063	102004	Stefano Morozzi	11/2022
9025	2^338847-61885	102004	Stefano Morozzi	12/2022
9026	2^338845+135831	102003	Stefano Morozzi	03/2022
9027	2^338846+85695	102003	Stefano Morozzi	03/2022
9028	2^338845+186525	102003	Stefano Morozzi	04/2022
9029	2^338846-163473	102003	Stefano Morozzi	12/2022
9030	2^338844-16077	102003	Stefano Morozzi	01/2023
9031	2^338844-165143	102003	Stefano Morozzi	01/2023
9032	2^338843-127261	102002	Stefano Morozzi	12/2021
9033	2^338843+107205	102002	Stefano Morozzi	02/2022
9034	2^338842-33185	102002	Stefano Morozzi	04/2022
9035	2^338842+14227	102002	Stefano Morozzi	05/2022
9036	2^338842+147973	102002	Stefano Morozzi	11/2022
9044	8*10^102000+51	102001	Robert Price	08/2019
9037	2^338838+150837	102001	Stefano Morozzi	11/2021
9038	2^338838+141397	102001	Stefano Morozzi	06/2022
9039	2^338839+194363	102001	Stefano Morozzi	09/2022
9040	2^338838+95637	102001	Stefano Morozzi	11/2022
9041	2^338839+171545	102001	Stefano Morozzi	11/2022
9042	2^338837-40071	102001	Stefano Morozzi	01/2023
9043	2^338838-90251	102001	Stefano Morozzi	01/2023
9045	2^338835-150625	102000	Stefano Morozzi	12/2021
9046	2^338834-32877	102000	Stefano Morozzi	04/2022
9050	(2^338832+642)/2	101999	Stefano Morozzi	09/2020
9047	2^338833-100905	101999	Stefano Morozzi	12/2021
9048	2^338831+54419	101999	Stefano Morozzi	01/2022
9049	2^338831-63687	101999	Stefano Morozzi	12/2022
9058	2^338829-113239	101998	Enzo Doria	07/2014
9059	2^338828-113297	101998	Enzo Doria	07/2014
9051	2^338830+25017	101998	Stefano Morozzi	11/2021
9052	2^338831+321	101998	Stefano Morozzi	11/2021
9053	2^338827-26197	101998	Stefano Morozzi	12/2021
9054	2^338829+52727	101998	Stefano Morozzi	01/2022
9055	2^338827-55461	101998	Stefano Morozzi	02/2022
9056	2^338828-65859	101998	Stefano Morozzi	01/2023
9057	2^338829+99365	101998	Stefano Morozzi	02/2023
9060	2^338825-27453	101997	Stefano Morozzi	12/2021
9061	2^338824+89355	101997	Stefano Morozzi	05/2022
9062	2^338825-10995	101997	Stefano Morozzi	06/2022
9063	2^338824+149865	101997	Stefano Morozzi	02/2023
9064	2^338822+111175	101996	Stefano Morozzi	03/2022
9065	2^338822+187819	101996	Stefano Morozzi	04/2022
9066	2^338823+139545	101996	Stefano Morozzi	05/2022
9067	2^338823-184905	101996	Stefano Morozzi	06/2022
9068	2^338821-38919	101996	Stefano Morozzi	12/2022
9069	2^338820+41317	101995	Stefano Morozzi	06/2022
9070	2^338817+46019	101995	Stefano Morozzi	11/2022
9071	2^338820+148083	101995	Stefano Morozzi	11/2022
9072	2^338817-163251	101995	Stefano Morozzi	12/2022
9073	2^338819-63705	101995	Stefano Morozzi	12/2022
9074	2^338817-92509	101995	Stefano Morozzi	02/2023
9075	2^338815+151175	101994	Stefano Morozzi	12/2021
9076	2^338814-30011	101994	Stefano Morozzi	02/2022
9077	2^338814+12309	101994	Stefano Morozzi	04/2022
9078	2^338816-60647	101994	Stefano Morozzi	06/2022
9079	2^338816+171043	101994	Stefano Morozzi	11/2022
9080	2^338814-11513	101994	Stefano Morozzi	12/2022
9081	2^338811-126999	101993	Stefano Morozzi	12/2021
9082	2^338811+131621	101993	Stefano Morozzi	02/2022
9083	2^338812-107637	101993	Stefano Morozzi	03/2022
9084	2^338813+192725	101993	Stefano Morozzi	09/2022
9085	2^338812+94731	101993	Stefano Morozzi	11/2022
9086	2^338813+49205	101993	Stefano Morozzi	02/2023
9087	2^338809-152755	101992	Stefano Morozzi	01/2022
9088	2^338808+156531	101992	Stefano Morozzi	01/2022
9089	2^338808+7885	101992	Stefano Morozzi	02/2022
9090	2^338808-105797	101992	Stefano Morozzi	02/2022
9091	2^338807-35899	101992	Stefano Morozzi	06/2022
9092	2^338808-89175	101992	Stefano Morozzi	01/2023
9093	2^338808-91475	101992	Stefano Morozzi	01/2023
9094	2^338805+29879	101991	Stefano Morozzi	01/2022
9095	2^338805+157925	101991	Stefano Morozzi	02/2022
9096	2^338804-6809	101991	Stefano Morozzi	03/2022
9097	2^338806-157095	101991	Stefano Morozzi	03/2022
9098	2^338804-133173	101991	Stefano Morozzi	04/2022
9099	2^338805-115189	101991	Stefano Morozzi	01/2023
9100	2^338802+150403	101990	Stefano Morozzi	11/2021
9101	2^338801+154587	101990	Stefano Morozzi	01/2022
9102	2^338802-180603	101990	Stefano Morozzi	02/2022
9103	2^338803-31921	101990	Stefano Morozzi	03/2022
9104	2^338803-81735	101990	Stefano Morozzi	03/2022
9105	2^338803+195141	101990	Stefano Morozzi	11/2022
9106	2^338800+160141	101989	Stefano Morozzi	03/2022
9107	2^338797-82489	101989	Stefano Morozzi	03/2022
9112	2^338796+93	101988	Donovan Johnson	06/2008
9108	2^338795+455	101988	Stefano Morozzi	11/2021
9109	2^338795-102075	101988	Stefano Morozzi	12/2021
9110	2^338794-3483	101988	Stefano Morozzi	01/2022
9111	2^338796+179641	101988	Stefano Morozzi	01/2022
9113	2^338793-5155	101987	Stefano Morozzi	02/2022
9114	2^338793+111107	101987	Stefano Morozzi	03/2022
9115	2^338791+112083	101987	Stefano Morozzi	04/2022
9116	2^338792-85097	101987	Stefano Morozzi	06/2022
9117	(61*10^101986+47)/9	101987	Robert Price	07/2022
9118	2^338787+53309	101986	Stefano Morozzi	01/2022
9119	2^338787-153817	101986	Stefano Morozzi	01/2022
9120	2^338789+56229	101986	Stefano Morozzi	01/2022
9121	2^338790+6429	101986	Stefano Morozzi	01/2022
9122	2^338788+131701	101986	Stefano Morozzi	02/2022
9123	2^338785+104639	101985	Stefano Morozzi	01/2022
9124	2^338784+37591	101985	Stefano Morozzi	04/2022
9125	2^338786-9831	101985	Stefano Morozzi	04/2022
9126	2^338783+109065	101984	Stefano Morozzi	03/2022
9127	2^338779+86711	101983	Stefano Morozzi	04/2022
9128	2^338778+113589	101983	Stefano Morozzi	05/2022
9129	2^338775-30369	101982	Stefano Morozzi	02/2022
9130	2^338774+159135	101982	Stefano Morozzi	03/2022
9131	2^338776+113001	101982	Stefano Morozzi	04/2022
9132	2^338774+117039	101982	Stefano Morozzi	09/2022
9133	2^338775+167109	101982	Stefano Morozzi	09/2022
9134	2^338774+147595	101982	Stefano Morozzi	11/2022
9135	2^338772+42733	101981	Stefano Morozzi	09/2022
9136	2^338771-138805	101981	Stefano Morozzi	12/2022
9137	2^338768-181007	101980	Stefano Morozzi	02/2022
9138	2^338768+108807	101980	Stefano Morozzi	03/2022
9139	2^338767+169155	101980	Stefano Morozzi	09/2022
9140	2^338769+95369	101980	Stefano Morozzi	11/2022
9141	2^338769+195965	101980	Stefano Morozzi	11/2022
9142	2^338770-12725	101980	Stefano Morozzi	12/2022
9143	2^338768-140843	101980	Stefano Morozzi	01/2023
9144	2^338764+138013	101979	Stefano Morozzi	04/2022
9145	2^338765-160323	101979	Stefano Morozzi	06/2022
9146	2^338765+124545	101979	Stefano Morozzi	02/2023
9152	lucasU(1373,1,32502)-lucasU(1373,1,32501)	101978	Mike Oakes	05/2009
9147	2^338761+103671	101978	Stefano Morozzi	01/2022
9148	2^338763-7651	101978	Stefano Morozzi	03/2022
9149	2^338763+65591	101978	Stefano Morozzi	06/2022
9150	2^338762-111875	101978	Stefano Morozzi	12/2022
9151	2^338762-192237	101978	Stefano Morozzi	02/2023
9153	2^338757-5151	101977	Stefano Morozzi	02/2022
9154	2^338760-79037	101977	Stefano Morozzi	02/2022
9155	2^338757-82143	101977	Stefano Morozzi	03/2022
9156	2^338757+137007	101977	Stefano Morozzi	04/2022
9157	2^338755+158531	101976	Stefano Morozzi	03/2022
9158	2^338755+74081	101976	Stefano Morozzi	02/2023
9159	2^338752-153353	101975	Stefano Morozzi	01/2022
9160	2^338751+8001	101975	Stefano Morozzi	02/2022
9161	2^338752+32977	101975	Stefano Morozzi	02/2022
9162	2^338753-79233	101975	Stefano Morozzi	02/2022
9163	2^338752-88157	101975	Stefano Morozzi	12/2022
9164	2^338750-175625	101974	Stefano Morozzi	12/2021
9165	2^338747-2731	101974	Stefano Morozzi	12/2021
9166	2^338750-29597	101974	Stefano Morozzi	02/2022
9167	2^338748+35095	101974	Stefano Morozzi	03/2022
9168	2^338747+137475	101974	Stefano Morozzi	04/2022
9169	2^338747+162005	101974	Stefano Morozzi	04/2022
9170	2^338750+162237	101974	Stefano Morozzi	04/2022
9171	2^338747-184365	101974	Stefano Morozzi	04/2022
9172	2^338748+64341	101974	Stefano Morozzi	05/2022
9173	2^338750+24445	101974	Stefano Morozzi	02/2023
9174	2^338746+59577	101973	Stefano Morozzi	03/2022
9175	2^338746+62055	101973	Stefano Morozzi	04/2022
9176	2^338744+194065	101973	Stefano Morozzi	09/2022
9177	2^338741+25359	101972	Stefano Morozzi	12/2021
9178	2^338743+176981	101972	Stefano Morozzi	12/2021
9179	2^338741+183029	101972	Stefano Morozzi	02/2022
9180	2^338743-130309	101972	Stefano Morozzi	02/2022
9181	2^338741+86349	101972	Stefano Morozzi	04/2022
9182	2^338741+111561	101972	Stefano Morozzi	04/2022
9183	2^338743+172301	101972	Stefano Morozzi	11/2022
9184	2^338741-189969	101972	Stefano Morozzi	01/2023
9185	2^338739+76959	101971	Stefano Morozzi	12/2021
9186	2^338739-105957	101971	Stefano Morozzi	02/2022
9187	2^338739+190149	101971	Stefano Morozzi	05/2022
9188	2^338738+64947	101971	Stefano Morozzi	05/2022
9189	2^338740+119947	101971	Stefano Morozzi	11/2022
9190	2^338740-186837	101971	Stefano Morozzi	12/2022
9191	2^338737+127547	101970	Stefano Morozzi	12/2021
9192	2^338737+128591	101970	Stefano Morozzi	01/2022
9193	2^338735-153165	101970	Stefano Morozzi	01/2022
9194	2^338734+13719	101970	Stefano Morozzi	05/2022
9195	2^338734-138225	101970	Stefano Morozzi	12/2022
9196	2^338735-186129	101970	Stefano Morozzi	12/2022
9202	25295^10744+10744^25295	101969	Hans Havermann	01/2019
9203	25712^9243+9243^25712	101969	Hans Havermann	01/2019
9197	2^338731-150895	101969	Stefano Morozzi	12/2021
9198	2^338731+54911	101969	Stefano Morozzi	01/2022
9199	2^338731+85863	101969	Stefano Morozzi	03/2022
9200	2^338732+185047	101969	Stefano Morozzi	03/2022
9201	2^338733+193791	101969	Stefano Morozzi	09/2022
9204	2^338729+69221	101968	Stefano Morozzi	09/2022
9205	2^338728+123355	101968	Stefano Morozzi	11/2022
9206	2^338730-87063	101968	Stefano Morozzi	12/2022
9207	2^338726+128199	101967	Stefano Morozzi	01/2022
9208	2^338727+127745	101967	Stefano Morozzi	01/2022
9209	2^338724+32971	101967	Stefano Morozzi	02/2022
9210	2^338727+189683	101967	Stefano Morozzi	05/2022
9211	2^338727+118293	101967	Stefano Morozzi	09/2022
9212	2^338723-76651	101966	Stefano Morozzi	12/2021
9213	2^338721+79037	101966	Stefano Morozzi	01/2022
9214	2^338723-132621	101966	Stefano Morozzi	03/2022
9215	2^338722+137313	101966	Stefano Morozzi	04/2022
9216	2^338722+162915	101966	Stefano Morozzi	04/2022
9217	2^338723+199161	101966	Stefano Morozzi	02/2023
9218	2^338718-126861	101965	Stefano Morozzi	12/2021
9219	2^338718-109127	101965	Stefano Morozzi	04/2022
9224	(71^55079-1)/70	101964	Paul Bourdelais	08/2017
9220	2^338714+30835	101964	Stefano Morozzi	01/2022
9221	2^338714+156715	101964	Stefano Morozzi	02/2022
9222	2^338715+19923	101964	Stefano Morozzi	09/2022
9223	2^338716+173253	101964	Stefano Morozzi	11/2022
9225	2^338711+125399	101963	Stefano Morozzi	12/2021
9226	2^338713-30895	101963	Stefano Morozzi	02/2022
9227	2^338712-132545	101963	Stefano Morozzi	03/2022
9228	2^338713+87825	101963	Stefano Morozzi	04/2022
9229	2^338712+190333	101963	Stefano Morozzi	06/2022
9230	2^338709-154429	101962	Stefano Morozzi	02/2022
9231	2^338710+140545	101962	Stefano Morozzi	06/2022
9232	2^338706-102917	101961	Stefano Morozzi	01/2022
9233	2^338705+34727	101961	Stefano Morozzi	03/2022
9234	2^338706-165633	101961	Stefano Morozzi	01/2023
9235	2^338707-116115	101961	Stefano Morozzi	01/2023
9236	2^338698+104083	101959	Stefano Morozzi	01/2022
9237	2^338700-184565	101959	Stefano Morozzi	04/2022
9238	2^338700+189777	101959	Stefano Morozzi	05/2022
9239	2^338698+41779	101959	Stefano Morozzi	09/2022
9240	2^338699+148533	101959	Stefano Morozzi	11/2022
9241	2^338700+97381	101959	Stefano Morozzi	11/2022
9242	2^338698-142181	101959	Stefano Morozzi	02/2023
9243	2^338696+181671	101958	Stefano Morozzi	02/2022
9244	2^338697+146651	101958	Stefano Morozzi	11/2022
9245	2^338695-116977	101958	Stefano Morozzi	02/2023
9246	2^338692+106297	101957	Stefano Morozzi	01/2022
9247	2^338692+33195	101957	Stefano Morozzi	02/2022
9248	2^338692+110505	101957	Stefano Morozzi	03/2022
9249	2^338692+190093	101957	Stefano Morozzi	05/2022
9250	2^338692+173343	101957	Stefano Morozzi	11/2022

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Probable Primes Top 10000

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